7968980 has 48 divisors (see below), whose sum is σ = 17935680. Its totient is φ = 2965248.

The previous prime is 7968959. The next prime is 7969019. The reversal of 7968980 is 898697.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25304 + ... + 25616.

It is an arithmetic number, because the mean of its divisors is an integer number (373660).

Almost surely, 2^7968980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7968980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8967840).

7968980 is an abundant number, since it is smaller than the sum of its proper divisors (9966700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7968980 is a wasteful number, since it uses less digits than its factorization.

7968980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 47.

The square root of 7968980 is about 2822.9381856498. The cubic root of 7968980 is about 199.7411651672.

The spelling of 7968980 in words is "seven million, nine hundred sixty-eight thousand, nine hundred eighty".